Factor Algebraic Expressions Quick Check

Question

2 of 52 of 5 Items
Question
Find the GCF of 42m−28n
.(1 point)
Responses

14
14

7
7

2
2

84

Answer 1

To find the greatest common factor (GCF) of the expression \(42m - 28n\), we first need to identify the GCF of the coefficients 42 and 28.

1. Find the factors of 42:

   • 42 = 1, 2, 3, 6, 7, 14, 21, 42

2. Find the factors of 28:

   • 28 = 1, 2, 4, 7, 14, 28

3. Identify the greatest common factor:
   The common factors of 42 and 28 are 1, 2, 7, and 14. The greatest of these is 14.

Thus, the GCF of \(42m - 28n\) is 14.

Therefore, the correct response is: 14.